{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Aspheric Singlet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from optiland import optic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "asphere = optic.Optic()\n",
    "\n",
    "# add surfaces\n",
    "asphere.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "asphere.add_surface(\n",
    "    index=1,\n",
    "    thickness=7,\n",
    "    radius=20.0,\n",
    "    is_stop=True,\n",
    "    material=\"N-SF11\",\n",
    "    surface_type=\"even_asphere\",\n",
    "    conic=0.0,\n",
    "    coefficients=[-2.248851e-4, -4.690412e-6, -6.404376e-8],\n",
    ")  # <-- coefficients for asphere\n",
    "asphere.add_surface(index=2, thickness=21.56201105)\n",
    "asphere.add_surface(index=3)\n",
    "\n",
    "# add aperture\n",
    "asphere.set_aperture(aperture_type=\"EPD\", value=20.0)\n",
    "\n",
    "# add field\n",
    "asphere.set_field_type(field_type=\"angle\")\n",
    "asphere.add_field(y=0)\n",
    "\n",
    "# add wavelength\n",
    "asphere.add_wavelength(value=0.587, is_primary=True)\n",
    "\n",
    "# draw lens\n",
    "asphere.draw(num_rays=10)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
